Find the p -value for the hypothesis test. A random sample of size 53 is taken. The sample has a mean of 424 and a standard deviation of 83.
H 0 : µ = 400
H a : µ ≠ 400
The p -value for the hypothesis test is
Solution :
Given that,
H0 :
= 400
Ha :
400
= 400
= 424
s = 83
n = 53
The test statistic t is,
t = (
-
)
/ (s /
n)
t =( 424 - 400) / (83 /
53 )
t = ( 24 * 53
/ 83 )
t = ( 24 *53
) / 83
t = 2.10
Test statistic = 2.10
p value = 0.0401
Two tailed test
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